Publication Type
Journal Article
Version
publishedVersion
Publication Date
11-2018
Abstract
We consider strategy-proof social choice functions operating on a rich domain of preference profiles. We show that if the social choice function satisfies in addition tops-onlyness, anonymity and unanimity then the preferences in the domain have to satisfy a variant of single-peakedness (referred to as semilattice single-peakedness). We do so by deriving from the social choice function an endogenous partial order (a semilattice) from which the notion of a semilattice single-peaked preference can be defined. We also provide a converse of this main finding. Finally, we show how well-known restricted domains under which nontrivial strategy-proof social choice functions are admissible are semilattice single-peaked domains. Our characterization of a semi-lattice single-peaked domain may be viewed as a converse to the Gibbard-Satterthwaite theorem.
Keywords
Strategy-proofness, Single-peakedness, Anonymity, Unanimity, Tops-onlyness, Semilattice
Discipline
Economics | Economic Theory
Research Areas
Economic Theory
Publication
International Economic Review
Volume
59
Issue
1
First Page
163
Last Page
189
ISSN
0020-6598
Identifier
10.1111/iere.12266
Publisher
Wiley
Citation
CHATTERJI, Shurojit and MASSO, Jordi.
On strategy-proofness and the salience of sIngle-peakedness. (2018). International Economic Review. 59, (1), 163-189.
Available at: https://ink.library.smu.edu.sg/soe_research/1720
Copyright Owner and License
Publisher
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1111/iere.12266